What will be the ratio of milk and water in the mixture formed by mixing milk and water that are pre...........

Quant (SSC) Mixture and Alligation

What will be the ratio of milk and water in the mixture formed by mixing milk and water that are present in three vessels in the ratios of 4:3, 5:2, and 3:2?

22:13

21:27

13:17

11:21

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Explanation:

Let us suppose V1, V2 and V3 are the volumes respectively of the vessels in which milk to water ratios are 4:3, 5:2 and 3:2.
Total milk = 4*V1/7 + 5*V2/7 + 3*V3/5
= (20*V1 + 25*V2 + 21*V3)/35
Total water = 3*V1/7 +2*V2/7 + 2*V3/5
= (15*V1 + 10*V2 + 14*V3)/35
Milk :Water = (20*V1 + 25* V2 + 21*V3)/(15*V1 + 10*V2 + 14*V3)
Knowing V1, V2 and V3 we can calculate the milk:water ratio.
In the special case V1 = V2 = V3,
Milk:Water = 66:39 = 22:13.

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